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# Natural Logs - PowerPoint PPT Presentation

Natural Logs. Section 8.6. Evaluate. Solve. Carbon-14 is used to study fossil remains. It has a half-life of 5760 years. What is the age of a fossil with 1/5 of its carbon-14 remaining?

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Presentation Transcript

Natural Logs

Section 8.6

Evaluate.

Solve.

Carbon-14 is used to study fossil remains. It has a half-life of 5760 years. What is the age of a fossil with 1/5 of its carbon-14 remaining?

• Medical research indicates that the risk of having a car accident increases exponentially as the concentration of alcohol in the blood increases. The risk is modeled by: R= , where x is the blood alcohol concentration and R, given as a percent, is the risk of having a car accident. What blood alcohol concentration corresponds to a 17% risk of a car accident?

The exponential decay model for Carbon-14 is

• Prehistoric cave paintings were discovered in a cave in France. The paint contained 15% of the orginal carbon14. Estimate the age of the paintings.

Log Word Problems

Homework

Wkst: word problems

Page 465 #14-38

Solutions to worksheet 9

• a) 88
• b) 71.5, 58.8, 52.03, 49.5
• .08
• a) 203 million
• b) 35.5 years
• c) 49.5 years
• 5.76%
• 18.4 min
• \$100,366.92
• a) 33.5
• b)402.36 days
• 13,1374.3 yrs
• 19.1 years
• 27 years
• 36.02
• \$3093.92
• \$5,654,365,339
• a) 15,678.7 years
• b) 1056.5 years
• c) 24,758 years old
• 6.5% is the rate of decay;
• After 34 years, it is irreversible.
• 16. 50.5 years